Testing Upward Planarity of Partial 2-Trees

Steven Chaplick; Emilio Di Giacomo; Fabrizio Frati; Robert Ganian; Chrysanthi N. Raftopoulou; Kirill Simonov

doi:10.48550/arXiv.2208.12548

Testing Upward Planarity of Partial 2-Trees

Steven Chaplick, Emilio Di Giacomo, Fabrizio Frati, Robert Ganian, Chrysanthi N. Raftopoulou, Kirill Simonov

Research output: Working paper / Preprint › Preprint

Abstract

We present an $O(n^2)$-time algorithm to test whether an $n$-vertex directed partial $2$-tree is upward planar. This result improves upon the previously best known algorithm, which runs in $O(n^4)$ time.

Original language	English
DOIs	https://doi.org/10.48550/arXiv.2208.12548
Publication status	Published - 26 Aug 2022

Keywords

cs.DS
cs.CG

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10.48550/arXiv.2208.12548

1 Chapter

Testing Upward Planarity of Partial 2-Trees
Chaplick, S., Di giacomo, E., Frati, F., Ganian, R., Raftopoulou, C. N. & Simonov, K., 2023, Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers. Angelini, P. & von Hanxleden, R. (eds.). Springer, Cham, Vol. 13764. p. 175-187 13 p. Chapter 13. (Lecture Notes in Computer Science, Vol. 13764).
Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

Cite this

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title = "Testing Upward Planarity of Partial 2-Trees",

abstract = " We present an $O(n^2)$-time algorithm to test whether an $n$-vertex directed partial $2$-tree is upward planar. This result improves upon the previously best known algorithm, which runs in $O(n^4)$ time. ",

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author = "Steven Chaplick and Giacomo, {Emilio Di} and Fabrizio Frati and Robert Ganian and Raftopoulou, {Chrysanthi N.} and Kirill Simonov",

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AU - Frati, Fabrizio

AU - Ganian, Robert

AU - Raftopoulou, Chrysanthi N.

AU - Simonov, Kirill

N1 - Appears in the Proceedings of the 30th International Symposium on Graph Drawing and Network Visualization (GD 2022)

PY - 2022/8/26

Y1 - 2022/8/26

N2 - We present an $O(n^2)$-time algorithm to test whether an $n$-vertex directed partial $2$-tree is upward planar. This result improves upon the previously best known algorithm, which runs in $O(n^4)$ time.

AB - We present an $O(n^2)$-time algorithm to test whether an $n$-vertex directed partial $2$-tree is upward planar. This result improves upon the previously best known algorithm, which runs in $O(n^4)$ time.

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KW - cs.CG

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DO - 10.48550/arXiv.2208.12548

M3 - Preprint

BT - Testing Upward Planarity of Partial 2-Trees

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Testing Upward Planarity of Partial 2-Trees

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Research output

Testing Upward Planarity of Partial 2-Trees

Cite this